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Finding the Fourth Proportional to 441,651.68, 662,477.73 and 142,132.23

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Solution

The fourth proportional to 441,651.68, 662,477.73 and 142,132.23 is: 213,198.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,651.68 : 662,477.73 = 142,132.23 : x
  2. Step 2: Convert to fraction form
    441,651.68/662,477.73 = 142,132.23/x
  3. Step 3: Cross multiply
    441,651.68x = 662,477.73 × 142,132.23
  4. Step 4: Simplify right side
    441,651.68x = 94,159,433,777.85
  5. Step 5: Solve for x
    x = 94,159,433,777.85/441,651.68
  6. Step 6: Final answer
    x = 213,198.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.